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52249140 = 223252811033
BaseRepresentation
bin1100011101010…
…0001000110100
310122022112100100
43013110020310
5101333433030
65103514100
71203052566
oct307241064
9118275310
1052249140
1127547609
12155b8930
13aa95068
146d21336
1548c1360
hex31d4234

52249140 has 72 divisors (see below), whose sum is σ = 159207048. Its totient is φ = 13870080.

The previous prime is 52249121. The next prime is 52249157. The reversal of 52249140 is 4194225.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 30008484 = 4716^2 + 5478^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50064 + ... + 51096.

It is an arithmetic number, because the mean of its divisors is an integer number (2211209).

Almost surely, 252249140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52249140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79603524).

52249140 is an abundant number, since it is smaller than the sum of its proper divisors (106957908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52249140 is a wasteful number, since it uses less digits than its factorization.

52249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52249140 is about 7228.3566597118. The cubic root of 52249140 is about 373.8462673763.

The spelling of 52249140 in words is "fifty-two million, two hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1033 1124 1405 1686 2066 2529 2810 3099 3372 4132 4215 5058 5165 5620 6198 8430 9297 10116 10330 12396 12645 15495 16860 18594 20660 25290 30990 37188 46485 50580 61980 92970 185940 290273 580546 870819 1161092 1451365 1741638 2612457 2902730 3483276 4354095 5224914 5805460 8708190 10449828 13062285 17416380 26124570 52249140